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Extensions 1→N→G→Q→1 with N=C32×Dic6 and Q=C2

Direct product G=N×Q with N=C32×Dic6 and Q=C2
dρLabelID
C3×C6×Dic6144C3xC6xDic6432,700

Semidirect products G=N:Q with N=C32×Dic6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×Dic6)⋊1C2 = C3×Dic6⋊S3φ: C2/C1 → C2 ⊆ Out C32×Dic6484(C3^2xDic6):1C2432,420
(C32×Dic6)⋊2C2 = C3×C32⋊5SD16φ: C2/C1 → C2 ⊆ Out C32×Dic6484(C3^2xDic6):2C2432,422
(C32×Dic6)⋊3C2 = C33⋊13SD16φ: C2/C1 → C2 ⊆ Out C32×Dic6144(C3^2xDic6):3C2432,440
(C32×Dic6)⋊4C2 = C33⋊15SD16φ: C2/C1 → C2 ⊆ Out C32×Dic672(C3^2xDic6):4C2432,442
(C32×Dic6)⋊5C2 = C32×D4.S3φ: C2/C1 → C2 ⊆ Out C32×Dic672(C3^2xDic6):5C2432,476
(C32×Dic6)⋊6C2 = C3×S3×Dic6φ: C2/C1 → C2 ⊆ Out C32×Dic6484(C3^2xDic6):6C2432,642
(C32×Dic6)⋊7C2 = C3×D12⋊S3φ: C2/C1 → C2 ⊆ Out C32×Dic6484(C3^2xDic6):7C2432,644
(C32×Dic6)⋊8C2 = C3×Dic3.D6φ: C2/C1 → C2 ⊆ Out C32×Dic6484(C3^2xDic6):8C2432,645
(C32×Dic6)⋊9C2 = C3×D6.6D6φ: C2/C1 → C2 ⊆ Out C32×Dic6484(C3^2xDic6):9C2432,647
(C32×Dic6)⋊10C2 = C3⋊S3×Dic6φ: C2/C1 → C2 ⊆ Out C32×Dic6144(C3^2xDic6):10C2432,663
(C32×Dic6)⋊11C2 = C12.39S32φ: C2/C1 → C2 ⊆ Out C32×Dic672(C3^2xDic6):11C2432,664
(C32×Dic6)⋊12C2 = C12.40S32φ: C2/C1 → C2 ⊆ Out C32×Dic672(C3^2xDic6):12C2432,665
(C32×Dic6)⋊13C2 = C32⋊9(S3×Q8)φ: C2/C1 → C2 ⊆ Out C32×Dic672(C3^2xDic6):13C2432,666
(C32×Dic6)⋊14C2 = C32×D4⋊2S3φ: C2/C1 → C2 ⊆ Out C32×Dic672(C3^2xDic6):14C2432,705
(C32×Dic6)⋊15C2 = S3×Q8×C32φ: C2/C1 → C2 ⊆ Out C32×Dic6144(C3^2xDic6):15C2432,706
(C32×Dic6)⋊16C2 = C32×C24⋊C2φ: C2/C1 → C2 ⊆ Out C32×Dic6144(C3^2xDic6):16C2432,466
(C32×Dic6)⋊17C2 = C32×C4○D12φ: trivial image72(C3^2xDic6):17C2432,703

Non-split extensions G=N.Q with N=C32×Dic6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C32×Dic6).1C2 = C3×C32⋊2Q16φ: C2/C1 → C2 ⊆ Out C32×Dic6484(C3^2xDic6).1C2432,423
(C32×Dic6).2C2 = C3×C32⋊3Q16φ: C2/C1 → C2 ⊆ Out C32×Dic6484(C3^2xDic6).2C2432,424
(C32×Dic6).3C2 = C33⋊6Q16φ: C2/C1 → C2 ⊆ Out C32×Dic6144(C3^2xDic6).3C2432,445
(C32×Dic6).4C2 = C33⋊7Q16φ: C2/C1 → C2 ⊆ Out C32×Dic6144(C3^2xDic6).4C2432,446
(C32×Dic6).5C2 = C32×C3⋊Q16φ: C2/C1 → C2 ⊆ Out C32×Dic6144(C3^2xDic6).5C2432,478
(C32×Dic6).6C2 = C32×Dic12φ: C2/C1 → C2 ⊆ Out C32×Dic6144(C3^2xDic6).6C2432,468

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